Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279w |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
502656 |
Modular degree for the optimal curve |
Δ |
586644738346821 = 3 · 7 · 118 · 194 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-172586,27514592] |
[a1,a2,a3,a4,a6] |
j |
2652170481664/2736741 |
j-invariant |
L |
1.0277319620555 |
L(r)(E,1)/r! |
Ω |
0.5138659807636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279s1 |
Quadratic twists by: -11 |